Weak Inverse Property Loops and Some Isotopy-Isomorphy Properties
arXiv:0706.1481
Abstract
Two distinct isotopy-isomorphy conditions, different from those of J. M. Osborn and Wilson's condition, for a weak inverse property loop(WIPL) are shown. Only one of them characterizes isotopy-isomorphy in WIPLs while the other is just a sufficient condition for isotopy-isomorphy. Under the sufficient condition called the condition, Artzy's result that isotopic cross inverse property loops(CIPL) are isomorphic is proved for WIP loops.
8 pages, submitted for publication